Ratios, Rates & Proportions

1) A team won 10 games and lost 7 games. What was this team’s ratio of wins to losses?

10 to 16

10 to 7

10 to 3

7 to 10

The team won 10 games and lost 7 games. The ratio of wins to losses can be calculated by dividing the number of wins by the number of losses. In this case, the ratio is 10:7, indicating that for every 10 wins, the team lost 7 games.

Explanation

The team won 10 games and lost 7 games. The ratio of wins to losses can be calculated by dividing the number of wins by the number of losses. In this case, the ratio is 10:7, indicating that for every 10 wins, the team lost 7 games.

2) There are 30 baseball cards in 5 packs. What is the rate of cards per bag? Note: Rate of cards per bag means unit rate.

6 cards to 1pack

5 cards to 1 pack

1 pack to 6 cards

1 pack to 5 cards

The correct answer is "6 cards to 1 pack". This means that for every 1 pack, there are 6 cards.

Explanation

The correct answer is "6 cards to 1 pack". This means that for every 1 pack, there are 6 cards.

3) A jar contains 12 red marbles and 6 blue marbles. What is the ratio of blue marbles to red marbles in the jar?

3:5

3:2

1:2

2:3

The ratio of blue marbles to red marbles in the jar is 1:2. This means that for every blue marble, there are two red marbles in the jar.

Explanation

The ratio of blue marbles to red marbles in the jar is 1:2. This means that for every blue marble, there are two red marbles in the jar.

4) A model of a car is 5 inches long. The actual car is 14 feet long. What is the ratio of the model's length to the actual length of the car?

5:14

5:168

14:5

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Explanation

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5) What is a unit rate?

Is rate that makes a comparison to 1 unit

Is rate that makes a comparison to 2 unit

Is a ratio that compares two quantities that have different units of measure

Is a ratio that compares two quantities that have same units of measure

A unit rate is a rate that compares a quantity to a single unit of measure. It allows for easy comparison and understanding by expressing the rate in terms of one unit. For example, if the rate is 60 miles per hour, it means that for every hour, the distance traveled is 60 miles. The unit rate simplifies the comparison by reducing it to a single unit, making it easier to comprehend and work with.

Explanation

A unit rate is a rate that compares a quantity to a single unit of measure. It allows for easy comparison and understanding by expressing the rate in terms of one unit. For example, if the rate is 60 miles per hour, it means that for every hour, the distance traveled is 60 miles. The unit rate simplifies the comparison by reducing it to a single unit, making it easier to comprehend and work with.